Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 825/40, 963/42, 275/813 quickly i.e. 264825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 825/40, 963/42, 275/813 is 264825.
LCM(825/40, 963/42, 275/813) = 264825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 825/40,963/42,275/813
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 825,963,275
Least Common Multiple of Numerators i.e. LCM of 825,963,275 is 264825.
GCF of Denominators means GCF of 40,42,813 as per the given fractions.
GCF of 40,42,813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 825,963,275
3 | 825, 963, 275 |
5 | 275, 321, 275 |
5 | 55, 321, 55 |
11 | 11, 321, 11 |
1, 321, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 11 x 1 x 321 x 1 = 264825
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 825,963,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,963,275) = 1
common factors(in case of two or more numbers have common factors) = 825
GCF(825,963,275) x common factors =1 x 825 = 825
LCM(825,963,275) = ( 825 × 963 × 275 ) / 825
LCM(825,963,275) = 218480625 / 825
LCM(825,963,275) = 264825
Lets's calculate GCF of 40,42,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264825/1
Therefore the LCM of Fractions 825/40,963/42,275/813 is 264825
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 40,42,813 . The biggest common factor number is the GCF number.
So the greatest common factor 40,42,813 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 825/40, 963/42, 275/813?
Answer: LCM of Numerators as per given numbers 825/40, 963/42, 275/813 is
LCM of Numerators i.e. for 825,963,275 is 264825
GCF of denominators i.e. for 40,42,813 is 1.
Thus, LCM of Fractions is 264825.Finally, LCM of Fractions for 825/40, 963/42, 275/813 is 264825.